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Parametric representations of BiHom-Hopf algebras
Czechoslovak Mathematical Journal, Tome 74 (2024) no. 1, pp. 45-86
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The main purpose of the present paper is to study representations of BiHom-Hopf algebras. We first introduce the notion of BiHom-Hopf algebras, and then discuss BiHom-type modules, Yetter-Dinfeld modules and Drinfeld doubles with parameters. We get some new $n$-monoidal categories via the category of BiHom-(co)modules and the category of BiHom-Yetter-Drinfeld modules. Finally, we obtain a center construction type theorem on BiHom-Hopf algebras.
The main purpose of the present paper is to study representations of BiHom-Hopf algebras. We first introduce the notion of BiHom-Hopf algebras, and then discuss BiHom-type modules, Yetter-Dinfeld modules and Drinfeld doubles with parameters. We get some new $n$-monoidal categories via the category of BiHom-(co)modules and the category of BiHom-Yetter-Drinfeld modules. Finally, we obtain a center construction type theorem on BiHom-Hopf algebras.
DOI : 10.21136/CMJ.2023.0213-22
Classification : 16T25, 16T99, 16W10
Keywords: BiHom-Hopf algebra; BiHom-Yang-Baxter equation; $n$-monoidal category; Drinfeld double 
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Zhang, Xiaohui; Wang, Wei; Chen, Juzhen. Parametric representations of BiHom-Hopf algebras. Czechoslovak Mathematical Journal, Tome 74 (2024) no. 1, pp. 45-86. doi: 10.21136/CMJ.2023.0213-22

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